基于RIPless理论的层析SAR成像航迹分布优化方法

Track distribution optimization method based on TomoSAR via RIPless theory

层析合成孔径雷达成像(TomoSAR)是通过同一观测区域不同入射角的多幅二维合成孔径雷达(SAR)图像在高程向进行孔径合成,从而实现三维成像。近年来,压缩感知(CS)被用于高程向稀疏场景的重建,高程向重建质量取决于观测矩阵的性质,而航迹分布是影响观测矩阵重构性能的重要因素。相比于度量观测矩阵重构性能的其他约束条件,RIPless理论具有有效、直观和计算简单等优点。提出了一种基于RIPless理论的压缩感知层析SAR成像航迹分布优化准则,从而在航迹数目一定的情况下,获取最优分布以实现高程向优化重建。最后,通过仿真和实验验证了所提优化准则的有效性。

Synthetic aperture radar tomography （TomoSAR） applies measured repeat-pass SAR images to synthetize an ap- erture in the elevation direction, so as to achieve three-dimensional imaging. In recent years, compressive sensing （CS） has been used for elevation reconstruction for the sparse elevation distribution. The imaging quality of elevation of CS-based To- moSAR depends on the recovery property of measurement matrix, which is affected by the track distribution. Compared to other restrictions of recovery property for measurement matrix, RIPless theory is intuitionistic, effective and simple to calcu- late. In this paper, we propose a track distribution optimal criterion for CS-based TomoSAR via RIPless theory to optimize the distribution of flight tracks and achieve optimal reconstruction of elevation when the number of tracks is fixed. Simulation and experimental results validate the validity of the proposed optimization criterion.